Expand the function \(\frac{1}{{\left( {z\; -\;1} \right)\left( {z\;-\;2} \right)}}\) in Laurent’s series for 1 < |z| < 2
1
\(\frac{1}{z} + \frac{2}{{{z^2}}} + \frac{3}{{{z^3}}} + \ldots\)
2
\(\ldots - {z^{ - 3}} - {z^{ - 2}} - {z^{ - 1}} - \frac{1}{2} - \frac{1}{4}z - \frac{1}{8}{z^2} - \frac{1}{{16}}{z^3} \ldots \)
3
\(\frac{1}{{{z^2}}} + \frac{3}{{{z^2}}} + \frac{7}{{{z^4}}} + \ldots\)
4
None of the above